{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:TCL6FDYAP73MPBLCIQLPA2PH2D","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"04cc4be7a638ef5ba29e8121839bb188b19d5825e1cfc401d618e52e71fc51b7","cross_cats_sorted":[],"license":"","primary_cat":"math.AP","submitted_at":"2003-06-16T16:05:56Z","title_canon_sha256":"3daf4b3fe8ca3b0ebc4bc05d231dc61072a4ab26e8aef3adc0097e8339aa350d"},"schema_version":"1.0","source":{"id":"math/0306239","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0306239","created_at":"2026-05-18T01:05:28Z"},{"alias_kind":"arxiv_version","alias_value":"math/0306239v1","created_at":"2026-05-18T01:05:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0306239","created_at":"2026-05-18T01:05:28Z"},{"alias_kind":"pith_short_12","alias_value":"TCL6FDYAP73M","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"TCL6FDYAP73MPBLC","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"TCL6FDYA","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:7905f00460e69db5a4aefc5babe404ebd43b502842c6473a74f3f33684a977d9","target":"graph","created_at":"2026-05-18T01:05:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Using Evans function techniques, we develop a stability index for weak and strong detonation waves analogous to that developed for shock waves in [GZ,BSZ], yielding useful necessary conditions for stability. Here, we carry out the analysis in the context of the Majda model, a simplified model for reacting flow; the method is extended to the full Navier-Stokes equations of reacting flow in [Ly,LyZ]. The resulting stability condition is satisfied for all nondegenerate, i.e., spatially exponentially decaying, weak and strong detonations of the Majda model in agreement with numerical experiments o","authors_text":"Gregory Lyng, Kevin Zumbrun","cross_cats":[],"headline":"","license":"","primary_cat":"math.AP","submitted_at":"2003-06-16T16:05:56Z","title":"A stability index for detonation waves in Majda's model for reacting flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0306239","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5b41611b25f94d3b06a2fb046ef204312351199be40fd6a748bdb31bd81b9df4","target":"record","created_at":"2026-05-18T01:05:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"04cc4be7a638ef5ba29e8121839bb188b19d5825e1cfc401d618e52e71fc51b7","cross_cats_sorted":[],"license":"","primary_cat":"math.AP","submitted_at":"2003-06-16T16:05:56Z","title_canon_sha256":"3daf4b3fe8ca3b0ebc4bc05d231dc61072a4ab26e8aef3adc0097e8339aa350d"},"schema_version":"1.0","source":{"id":"math/0306239","kind":"arxiv","version":1}},"canonical_sha256":"9897e28f007ff6c785624416f069e7d0cc91aa0df8fe100e1cd68a28d17c2f5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9897e28f007ff6c785624416f069e7d0cc91aa0df8fe100e1cd68a28d17c2f5a","first_computed_at":"2026-05-18T01:05:28.815181Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:28.815181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6KepWTTPOEfeLOVrd+Xlqy3XPICYBPd8bAiP+5Vtr7XdXk4fT1wCWlUXbJ3ue/QxEGegMps7CTrNXuoavjd2Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:28.815813Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0306239","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b41611b25f94d3b06a2fb046ef204312351199be40fd6a748bdb31bd81b9df4","sha256:7905f00460e69db5a4aefc5babe404ebd43b502842c6473a74f3f33684a977d9"],"state_sha256":"148256d12a28763209e9fa195bd4f11c3ba6fd5fa8510a9a6d74876aa0fe4dae"}